Dynamic magneto-optic coupling in a ferromagnetic nematic liquid crystal
Tilen Potisk, Daniel Sven\v{s}ek, Helmut R. Brand, Harald Pleiner,, Darja Lisjak, Natan Osterman, and Alenka Mertelj

TL;DR
This paper investigates the dynamic magneto-optic coupling in a ferromagnetic nematic liquid crystal, revealing how dissipative cross-coupling influences the response and providing a macroscopic theoretical framework.
Contribution
It demonstrates the experimental and theoretical analysis of magneto-optic coupling in ferromagnetic nematic liquid crystals, highlighting the role of dissipative cross-coupling between order parameters.
Findings
The magneto-optic response is significantly affected by dynamic cross-coupling.
The cross-coupling coefficient is comparable to the rotational viscosity.
Experimental results align with a macroscopic theoretical model.
Abstract
Hydrodynamics of complex fuids with multiple order parameters is governed by a set of dynamic equations with many material constants, of which only some are easily measurable. We present a unique example of a dynamic magneto-optic coupling in a ferromagnetic nematic liquid, in which long-range orientational order of liquid crystalline molecules is accompanied by long-range magnetic order of magnetic nanoplatelets. We investigate the dynamics of the magneto-optic response experimentally and theoretically and find out that it is significantly affected by the dissipative dynamic cross-coupling between the nematic and magnetic order parameters. The cross-coupling coefficient determined by fitting the experimental results with a macroscopic theory is of the same order of magnitude as the dissipative coefficient (rotational viscosity) that governs the reorientation of pure liquid crystals.
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